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Dr Abdelwahab Bensouilah

Assistant Professor, School of Mathematics and Data Science

Telephone: +971 4 6050197

Email: abdelwahab.bensouilah@eau.ac.ae

Dr Abdelwahab Bensouilah earned his PhD from Université de Lille (France) in November 2019, after that he moved to NYU Abu Dhabi as a postdoctoral associate. Establishing a profile decomposition theorem adapted to the Schrödinger equation with an inverse square potential, he succeeded in solving the open question of mass concentration of singular solutions as well as settling some problems regarding the orbital stability of solitary waves. He also conducted joint works on several Schrödinger-type equations. Working in the field of partial differential equations got Dr Bensouilah interested in quantum physics and more precisely condensed matter physics. He gave an elementary derivation of the Josephson tunneling phenomena which has a lot of applications in science.

  • PhD (mathematics), University de Lille, France, 2019
  • Master’s degree (mathematics), Université de Lille, France, 2016
  • Bachelor with honour (mathematics), Université de Lille, France, 2015
  • Mathematics
  • Mathematics
  • Theoretical physics
  • Electromagnetism
  1. A. Bensouilah, V. D. Dinh and S. Zhu, On stability and instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential, 2018, J. Math. Phys., 59, 101505.
  2. A. Bensouilah, D. Draouil and M. Majdoub, Energy critical Schrödinger equation with weighted exponential nonlinearity I: Local and global well-posedness, 2019, JHDE. 15, 4, 599–621.
  3. A. Bensouilah and S. Keraani, Smoothing property for the L2-critical high-order NLS II, Discrete Contin. Dyn. Syst., 39, 5 (2019), 2961–2976.
  4. A. Bensouilah, V. D. Dinh and M. Majdoub, Scattering for the two-dimensional NLS with inhomogeneous exponential nonlinearity, 2019, Commun. Pure Appl. Anal. 18, 2735–2755.
  5. A. Bensouilah, L2 concentration of blow-up solutions for the mass-critical NLS with inverse-square potential, 2019, Bull. Belg. Math. Soc. Simon Stevin 26 , 759–771.
  6. A. Bensouilah, Short Proofs of Josephson’s results, Eur. J. Phys., 40, 2019, 035501.
  7. A. Bensouilah, D. Draouil and M. Majdoub, A 2-D Schrödinger equation with time oscillating exponential nonlinearity, 2020, Dynamics of PDE, 17, 4, 307–327.